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Title

There's plenty of light at the bottom: statistics of photon penetration depth in random media

Authors
Martelli, Fabrizio
Pifferi, Antonio
Spinelli, Lorenzo
Farina, Andrea
Torricelli, Alessandro
Published in Scientific Reports. 2016, vol. 6, p. 27057
Abstract We propose a comprehensive statistical approach describing the penetration depth of light in random media. The presented theory exploits the concept of probability density function f(z|ρ, t) for the maximum depth reached by the photons that are eventually re-emitted from the surface of the medium at distance ρ and time t. Analytical formulas for f, for the mean maximum depth 〈zmax〉 and for the mean average depth reached by the detected photons at the surface of a diffusive slab are derived within the framework of the diffusion approximation to the radiative transfer equation, both in the time domain and the continuous wave domain. Validation of the theory by means of comparisons with Monte Carlo simulations is also presented. The results are of interest for many research fields such as biomedical optics, advanced microscopy and disordered photonics.
Identifiers
PMID: 27256988
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Article (Published version) (1.3 MB) - public document Free access
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Research group Groupe Binzoni Tiziano (radiologie) (234)
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MARTELLI, Fabrizio et al. There's plenty of light at the bottom: statistics of photon penetration depth in random media. In: Scientific Reports, 2016, vol. 6, p. 27057. https://archive-ouverte.unige.ch/unige:84657

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Deposited on : 2016-06-20

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